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The phrase "contingent connections" is correct and usable in written English
It can be used in contexts discussing relationships or dependencies that are conditional or based on certain circumstances.
Example: "The study revealed several contingent connections between economic factors and social behavior."
Alternatives: "conditional links" or "dependent relationships"
Exact(5)
Also, as contingent connections invariably change, some modules are thereby ignored or lost all together.
However, whether there are conceptual, causal or merely contingent connections among the different forms of oppression and liberation remains a contested issue (see Green 1994).
That said, and though we should today allow contingent connections that are neither probabilistic nor causal, there are few points at which the distinction is not clear.
Secondly, and as Parekh (2004) elaborates, the dilemma more broadly assumes that solidarity is a necessary pre-condition of redistribution, and insufficiently explores how solidarity comes into existence in the first place – and specifically confuses contingent connections for causality.
It should be clear that even if some contingent connections of these sorts hold between promoting equality and acting in conformity with some quite different moral view whose best articulation contains no essential reference to equality promotion, the quite different moral view is not thereby revealed to be egalitarian.
Similar(55)
The core ideas of legal positivism are that law is essentially a matter of social fact and that it bears at most a contingent connection with moral norms: many actions that are legally proscribed (or prescribed) can nonetheless be moral (or immoral).
Most likely this is an artifact of the contingent connection between the given and the neutral entities that characterizes mainstream neutral monism.
If the latter, then how are we to explain why the contingent connection between moral judgment and motivation is as strong and reliable as it appears to be?
Some doubt the relevance of empirical considerations to the debate over internalism in ethics, arguing that since internalism claims a necessary or conceptual link between moral judgments and motivation, externalism is compatible with any merely contingent connection.
For example, pretty much everyone agrees that any decent metaethical theory should be able to explain the close connection between moral judgment and motivation but it is a live question whether that connection should be construed as a necessary one, or whether a reliably contingent connection will suffice.
More generally, externalists argue that internalists cannot make sense of morality's historical challenger the skeptic who asks, "Why be moral?" Externalists maintain that they can fully and adequately account for the strong but ultimately contingent connection between moral judgment and motivation, offering various explanations of how moral judgments reliably motivate.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com